UNIQUENESS OF DIFFERENCE POLYNOMIALS OF ENTIRE FUNCTIONS WITH ZERO ORDER

In this paper, we consider the uniqueness problems ofP(f)d∏j=1f(qjz+cj)sjconcerning sharingsmall function, wheref(z) is a transcendental entire function with zero order,P(z) is a nonconstantpolynomial of degreen,qj(qj̸= 0; j= 1;···; d) are constants,cj(cj̸= 0; j= 1;···; d) are distinctconstants,n; d; sj(j= 1;···; d)∈N+. We relax the conditions of theorems given by Wang, Xu andZhan[11, Adv.Di er.Equ.2014,249:1-16]. Moreover, using the de nitions of weakly weighted sharingand relaxed weighted sharing, we also extend their results.